# Ex.8.1 Q4 Comparing Quantities - NCERT Maths Class 8

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## Question

A football team won \(10\) matches out of the total number of matches they played. If their win percentage was \(40\), then how many matches did they play in all?

## Text Solution

**What is known?**

Total number of matches \(= 10\)

Win percentage \(= 40\%\)

**What is unknown?**

Total number of matches played.

**Reasoning:**

Assuming the total number of matches played as \(x,\) equating \(40\%\) of *\(x\)* is to \(10,\) the value of *\(x\)* can be found.

**Steps:**

Let the total number of matches played\(=x\)

\[\begin{align}40\% \;{\rm{ of}}\;x &= 10\\\frac{{40}}{{100}} \times x &= 10\\x &= \frac{{10 \times 100}}{{40}}\\&= 25\end{align}\]

The total number of matches played by football team is \(25.\)